0.5[5-7x]=8[4x+6]

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Solution for 0.5[5-7x]=8[4x+6] equation: 


Simplifying
0.5[5 + -7x] = 8[4x + 6]
[5 * 0.5 + -7x * 0.5] = 8[4x + 6]
[2.5 + -3.5x] = 8[4x + 6]

Reorder the terms:
2.5 + -3.5x = 8[6 + 4x]
2.5 + -3.5x = [6 * 8 + 4x * 8]
2.5 + -3.5x = [48 + 32x]

Solving
2.5 + -3.5x = 48 + 32x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-32x' to each side of the equation.
2.5 + -3.5x + -32x = 48 + 32x + -32x

Combine like terms: -3.5x + -32x = -35.5x
2.5 + -35.5x = 48 + 32x + -32x

Combine like terms: 32x + -32x = 0
2.5 + -35.5x = 48 + 0
2.5 + -35.5x = 48

Add '-2.5' to each side of the equation.
2.5 + -2.5 + -35.5x = 48 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + -35.5x = 48 + -2.5
-35.5x = 48 + -2.5

Combine like terms: 48 + -2.5 = 45.5
-35.5x = 45.5

Divide each side by '-35.5'.
x = -1.281690141

Simplifying
x = -1.281690141

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